发表机构
Universität zu Köln; Scuola Superiore Meridionale; INFN Sezione di Napoli; SISSA; INFN Sezione di Trieste（科隆大学; 南方高等学院; 那不勒斯 INFN 分部; 国际高等研究学院; 的里雅斯特 INFN 分部）
机构由 AI 辅助整理，请以论文原文为准。AI 中文总结
本研究通过纠缠谱分析高维自由费米子系统的非局域魔法，揭示边界律的对数违反、纠缠容量约束及Kitaev模型中的相依赖响应，并扩展至非平衡淬火与随机电路中的扩散行为。
AI 中文摘要
我们通过纠缠谱的视角研究高维自由费米子系统中的费米子非局域魔法。对于条带几何中的平移不变高斯态，降维将问题映射到独立的低维动量扇区，在二维中导致边界律的对数乘法违反，类似于Gioev-Klich-Widom标度。我们进一步证明第二Rényi费米子非局域魔法受纠缠容量约束，并引入一种纠缠温度形变，用以探测纠缠哈密顿量的低能结构。将该方法应用于Kitaev模型的物质-马约拉纳扇区时，该响应在阿贝尔相中呈指数抑制，在非阿贝尔相中呈代数衰减，且其与容量的比值趋近于普适常数。在非平衡情形下，我们将准粒子描述扩展到高维淬火中的费米子非局域魔法，并表明随机高斯电路在二维空间中表现出扩散式传播。
英文摘要
We study fermionic non-local magic in higher-dimensional free-fermion systems through the lens of the entanglement spectrum. For translationally invariant Gaussian states in strip geometries, dimensional reduction maps the problem to independent lower-dimensional momentum sectors, leading in two dimensions to a multiplicative logarithmic violation of the boundary law analogous to Gioev-Klich-Widom scaling. We further show that the second Rényi fermionic non-local magic is bounded by the capacity of entanglement and introduce an entanglement-temperature deformation that probes the low-energy structure of the entanglement Hamiltonian. Applied to the matter-Majorana sector of the Kitaev model, this response is exponentially suppressed in the Abelian phase and algebraic in the non-Abelian phase, where its ratio with the capacity approaches a universal constant. Out of equilibrium, we extend the quasi-particle description to fermionic non-local magic in higher-dimensional quenches and show that random Gaussian circuits exhibit diffusive spreading in two spatial dimensions.
Comments10 figures, comments are welcome
